Given:
32 bolts for a total of $12.00
3-inch bolt costing 36 cents or 0.36
4-inch bolt costing 42 cents or 0.42
let x represent 3-inch bolt costing 36 cents
let y represent 4-inch bolt costing 42 cents
x + y = 32
0.36x + 0.42y = 12
x = 32 - y
0.36(32-y) + 0.42y = 12
11.52 - 0.36y + 0.42y = 12
-0.36y + 0.42y = 12 - 11.52
0.06y = 0.48
y = 0.48/0.06
y = 8
x = 32 - y
x = 32 - 8
x = 24
James bought 24 pcs of the 3-inch bolt and 8 pcs of the 4-inch bolt.
To check
<span>0.36x + 0.42y = 12
</span>0.36(24) + 0.42(8) = 12
8.64 + 3.36 = 12
12 = 12
Answer: n = 63
Step-by-step explanation:
1260/20 = n/1
63/1 = n/1
n = 63
Answer:
0.56
Step-by-step explanation:
0.56 Because you would have yo subtract 0.77 and 0.21
You can put the numbers where the variables are and do the arithmetic, or you can simplify the expression first. In the latter case, you have
(3a^(-2-(-1))b^(6-5)/2)^2 = (3a^(-1)b^1/2^2 = (3b/(2a))^2
= (3(-2)/(2(3)))^2 = (-1)^2 = 1
The value of the expression is 1.
Answer:
√3
Step-by-step explanation:
The given expression to be simplified is

but


Since √12=2√3,this implies that,

Therefore,



The simplified form of ,
is √3